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Simplifying 10(x + -2) + 4 = 3(x + -7) + 5 Reorder the terms: 10(-2 + x) + 4 = 3(x + -7) + 5 (-2 * 10 + x * 10) + 4 = 3(x + -7) + 5 (-20 + 10x) + 4 = 3(x + -7) + 5 Reorder the terms: -20 + 4 + 10x = 3(x + -7) + 5 Combine like terms: -20 + 4 = -16 -16 + 10x = 3(x + -7) + 5 Reorder the terms: -16 + 10x = 3(-7 + x) + 5 -16 + 10x = (-7 * 3 + x * 3) + 5 -16 + 10x = (-21 + 3x) + 5 Reorder the terms: -16 + 10x = -21 + 5 + 3x Combine like terms: -21 + 5 = -16 -16 + 10x = -16 + 3x Add '16' to each side of the equation. -16 + 16 + 10x = -16 + 16 + 3x Combine like terms: -16 + 16 = 0 0 + 10x = -16 + 16 + 3x 10x = -16 + 16 + 3x Combine like terms: -16 + 16 = 0 10x = 0 + 3x 10x = 3x Solving 10x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10x + -3x = 3x + -3x Combine like terms: 10x + -3x = 7x 7x = 3x + -3x Combine like terms: 3x + -3x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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