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Simplifying 15 = 4(4x + -4) + -1(x + -7) Reorder the terms: 15 = 4(-4 + 4x) + -1(x + -7) 15 = (-4 * 4 + 4x * 4) + -1(x + -7) 15 = (-16 + 16x) + -1(x + -7) Reorder the terms: 15 = -16 + 16x + -1(-7 + x) 15 = -16 + 16x + (-7 * -1 + x * -1) 15 = -16 + 16x + (7 + -1x) Reorder the terms: 15 = -16 + 7 + 16x + -1x Combine like terms: -16 + 7 = -9 15 = -9 + 16x + -1x Combine like terms: 16x + -1x = 15x 15 = -9 + 15x Solving 15 = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + -15x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -15x = -9 + 0 15 + -15x = -9 Add '-15' to each side of the equation. 15 + -15 + -15x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -9 + -15 -15x = -9 + -15 Combine like terms: -9 + -15 = -24 -15x = -24 Divide each side by '-15'. x = 1.6 Simplifying x = 1.6
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