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Simplifying 4(x + -2) + 5 = 2(3x + -8) Reorder the terms: 4(-2 + x) + 5 = 2(3x + -8) (-2 * 4 + x * 4) + 5 = 2(3x + -8) (-8 + 4x) + 5 = 2(3x + -8) Reorder the terms: -8 + 5 + 4x = 2(3x + -8) Combine like terms: -8 + 5 = -3 -3 + 4x = 2(3x + -8) Reorder the terms: -3 + 4x = 2(-8 + 3x) -3 + 4x = (-8 * 2 + 3x * 2) -3 + 4x = (-16 + 6x) Solving -3 + 4x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 4x + -6x = -16 + 6x + -6x Combine like terms: 4x + -6x = -2x -3 + -2x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x = -16 + 0 -3 + -2x = -16 Add '3' to each side of the equation. -3 + 3 + -2x = -16 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -16 + 3 -2x = -16 + 3 Combine like terms: -16 + 3 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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