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Simplifying -4x + 12 = 8(-2x + 30) Reorder the terms: 12 + -4x = 8(-2x + 30) Reorder the terms: 12 + -4x = 8(30 + -2x) 12 + -4x = (30 * 8 + -2x * 8) 12 + -4x = (240 + -16x) Solving 12 + -4x = 240 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + -4x + 16x = 240 + -16x + 16x Combine like terms: -4x + 16x = 12x 12 + 12x = 240 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 12x = 240 + 0 12 + 12x = 240 Add '-12' to each side of the equation. 12 + -12 + 12x = 240 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 240 + -12 12x = 240 + -12 Combine like terms: 240 + -12 = 228 12x = 228 Divide each side by '12'. x = 19 Simplifying x = 19
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