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Simplifying x + 5 = 3(5x + -4) + -10x Reorder the terms: 5 + x = 3(5x + -4) + -10x Reorder the terms: 5 + x = 3(-4 + 5x) + -10x 5 + x = (-4 * 3 + 5x * 3) + -10x 5 + x = (-12 + 15x) + -10x Combine like terms: 15x + -10x = 5x 5 + x = -12 + 5x Solving 5 + x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + x + -5x = -12 + 5x + -5x Combine like terms: x + -5x = -4x 5 + -4x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -4x = -12 + 0 5 + -4x = -12 Add '-5' to each side of the equation. 5 + -5 + -4x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -12 + -5 -4x = -12 + -5 Combine like terms: -12 + -5 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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