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Simplifying 5 + -2(3x + -4) = 6 + -1(10x + -3) Reorder the terms: 5 + -2(-4 + 3x) = 6 + -1(10x + -3) 5 + (-4 * -2 + 3x * -2) = 6 + -1(10x + -3) 5 + (8 + -6x) = 6 + -1(10x + -3) Combine like terms: 5 + 8 = 13 13 + -6x = 6 + -1(10x + -3) Reorder the terms: 13 + -6x = 6 + -1(-3 + 10x) 13 + -6x = 6 + (-3 * -1 + 10x * -1) 13 + -6x = 6 + (3 + -10x) Combine like terms: 6 + 3 = 9 13 + -6x = 9 + -10x Solving 13 + -6x = 9 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 13 + -6x + 10x = 9 + -10x + 10x Combine like terms: -6x + 10x = 4x 13 + 4x = 9 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 4x = 9 + 0 13 + 4x = 9 Add '-13' to each side of the equation. 13 + -13 + 4x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 9 + -13 4x = 9 + -13 Combine like terms: 9 + -13 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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