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Simplifying 4(6x + -2) + -5(3x + -3) = 4(2x + 2) + -3 Reorder the terms: 4(-2 + 6x) + -5(3x + -3) = 4(2x + 2) + -3 (-2 * 4 + 6x * 4) + -5(3x + -3) = 4(2x + 2) + -3 (-8 + 24x) + -5(3x + -3) = 4(2x + 2) + -3 Reorder the terms: -8 + 24x + -5(-3 + 3x) = 4(2x + 2) + -3 -8 + 24x + (-3 * -5 + 3x * -5) = 4(2x + 2) + -3 -8 + 24x + (15 + -15x) = 4(2x + 2) + -3 Reorder the terms: -8 + 15 + 24x + -15x = 4(2x + 2) + -3 Combine like terms: -8 + 15 = 7 7 + 24x + -15x = 4(2x + 2) + -3 Combine like terms: 24x + -15x = 9x 7 + 9x = 4(2x + 2) + -3 Reorder the terms: 7 + 9x = 4(2 + 2x) + -3 7 + 9x = (2 * 4 + 2x * 4) + -3 7 + 9x = (8 + 8x) + -3 Reorder the terms: 7 + 9x = 8 + -3 + 8x Combine like terms: 8 + -3 = 5 7 + 9x = 5 + 8x Solving 7 + 9x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 9x + -8x = 5 + 8x + -8x Combine like terms: 9x + -8x = 1x 7 + 1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 1x = 5 + 0 7 + 1x = 5 Add '-7' to each side of the equation. 7 + -7 + 1x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 5 + -7 1x = 5 + -7 Combine like terms: 5 + -7 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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