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Simplifying 5(2x + -1) + -4(6x + -3) = 2(3x + -8) + -10(x + -1) Reorder the terms: 5(-1 + 2x) + -4(6x + -3) = 2(3x + -8) + -10(x + -1) (-1 * 5 + 2x * 5) + -4(6x + -3) = 2(3x + -8) + -10(x + -1) (-5 + 10x) + -4(6x + -3) = 2(3x + -8) + -10(x + -1) Reorder the terms: -5 + 10x + -4(-3 + 6x) = 2(3x + -8) + -10(x + -1) -5 + 10x + (-3 * -4 + 6x * -4) = 2(3x + -8) + -10(x + -1) -5 + 10x + (12 + -24x) = 2(3x + -8) + -10(x + -1) Reorder the terms: -5 + 12 + 10x + -24x = 2(3x + -8) + -10(x + -1) Combine like terms: -5 + 12 = 7 7 + 10x + -24x = 2(3x + -8) + -10(x + -1) Combine like terms: 10x + -24x = -14x 7 + -14x = 2(3x + -8) + -10(x + -1) Reorder the terms: 7 + -14x = 2(-8 + 3x) + -10(x + -1) 7 + -14x = (-8 * 2 + 3x * 2) + -10(x + -1) 7 + -14x = (-16 + 6x) + -10(x + -1) Reorder the terms: 7 + -14x = -16 + 6x + -10(-1 + x) 7 + -14x = -16 + 6x + (-1 * -10 + x * -10) 7 + -14x = -16 + 6x + (10 + -10x) Reorder the terms: 7 + -14x = -16 + 10 + 6x + -10x Combine like terms: -16 + 10 = -6 7 + -14x = -6 + 6x + -10x Combine like terms: 6x + -10x = -4x 7 + -14x = -6 + -4x Solving 7 + -14x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -14x + 4x = -6 + -4x + 4x Combine like terms: -14x + 4x = -10x 7 + -10x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -10x = -6 + 0 7 + -10x = -6 Add '-7' to each side of the equation. 7 + -7 + -10x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = -6 + -7 -10x = -6 + -7 Combine like terms: -6 + -7 = -13 -10x = -13 Divide each side by '-10'. x = 1.3 Simplifying x = 1.3
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