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Simplifying 5 + 3(x + -4) = -10x + -1(-12x + -10) Reorder the terms: 5 + 3(-4 + x) = -10x + -1(-12x + -10) 5 + (-4 * 3 + x * 3) = -10x + -1(-12x + -10) 5 + (-12 + 3x) = -10x + -1(-12x + -10) Combine like terms: 5 + -12 = -7 -7 + 3x = -10x + -1(-12x + -10) Reorder the terms: -7 + 3x = -10x + -1(-10 + -12x) -7 + 3x = -10x + (-10 * -1 + -12x * -1) -7 + 3x = -10x + (10 + 12x) Reorder the terms: -7 + 3x = 10 + -10x + 12x Combine like terms: -10x + 12x = 2x -7 + 3x = 10 + 2x Solving -7 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 10 + 0 -7 + 1x = 10 Add '7' to each side of the equation. -7 + 7 + 1x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 10 + 7 1x = 10 + 7 Combine like terms: 10 + 7 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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