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Simplifying -4(3x + -12) + 3(x + 5) = -7x + 5x Reorder the terms: -4(-12 + 3x) + 3(x + 5) = -7x + 5x (-12 * -4 + 3x * -4) + 3(x + 5) = -7x + 5x (48 + -12x) + 3(x + 5) = -7x + 5x Reorder the terms: 48 + -12x + 3(5 + x) = -7x + 5x 48 + -12x + (5 * 3 + x * 3) = -7x + 5x 48 + -12x + (15 + 3x) = -7x + 5x Reorder the terms: 48 + 15 + -12x + 3x = -7x + 5x Combine like terms: 48 + 15 = 63 63 + -12x + 3x = -7x + 5x Combine like terms: -12x + 3x = -9x 63 + -9x = -7x + 5x Combine like terms: -7x + 5x = -2x 63 + -9x = -2x Solving 63 + -9x = -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. 63 + -9x + 2x = -2x + 2x Combine like terms: -9x + 2x = -7x 63 + -7x = -2x + 2x Combine like terms: -2x + 2x = 0 63 + -7x = 0 Add '-63' to each side of the equation. 63 + -63 + -7x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -7x = 0 + -63 -7x = 0 + -63 Combine like terms: 0 + -63 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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