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Simplifying -5x + 10 + -7x = 2(1 + 12x) + -10(4 + 4x) Reorder the terms: 10 + -5x + -7x = 2(1 + 12x) + -10(4 + 4x) Combine like terms: -5x + -7x = -12x 10 + -12x = 2(1 + 12x) + -10(4 + 4x) 10 + -12x = (1 * 2 + 12x * 2) + -10(4 + 4x) 10 + -12x = (2 + 24x) + -10(4 + 4x) 10 + -12x = 2 + 24x + (4 * -10 + 4x * -10) 10 + -12x = 2 + 24x + (-40 + -40x) Reorder the terms: 10 + -12x = 2 + -40 + 24x + -40x Combine like terms: 2 + -40 = -38 10 + -12x = -38 + 24x + -40x Combine like terms: 24x + -40x = -16x 10 + -12x = -38 + -16x Solving 10 + -12x = -38 + -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. 10 + -12x + 16x = -38 + -16x + 16x Combine like terms: -12x + 16x = 4x 10 + 4x = -38 + -16x + 16x Combine like terms: -16x + 16x = 0 10 + 4x = -38 + 0 10 + 4x = -38 Add '-10' to each side of the equation. 10 + -10 + 4x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -38 + -10 4x = -38 + -10 Combine like terms: -38 + -10 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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