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Simplifying 3(6x + -5) + -3(3x + -10) = 4(2x + 3) + -6 Reorder the terms: 3(-5 + 6x) + -3(3x + -10) = 4(2x + 3) + -6 (-5 * 3 + 6x * 3) + -3(3x + -10) = 4(2x + 3) + -6 (-15 + 18x) + -3(3x + -10) = 4(2x + 3) + -6 Reorder the terms: -15 + 18x + -3(-10 + 3x) = 4(2x + 3) + -6 -15 + 18x + (-10 * -3 + 3x * -3) = 4(2x + 3) + -6 -15 + 18x + (30 + -9x) = 4(2x + 3) + -6 Reorder the terms: -15 + 30 + 18x + -9x = 4(2x + 3) + -6 Combine like terms: -15 + 30 = 15 15 + 18x + -9x = 4(2x + 3) + -6 Combine like terms: 18x + -9x = 9x 15 + 9x = 4(2x + 3) + -6 Reorder the terms: 15 + 9x = 4(3 + 2x) + -6 15 + 9x = (3 * 4 + 2x * 4) + -6 15 + 9x = (12 + 8x) + -6 Reorder the terms: 15 + 9x = 12 + -6 + 8x Combine like terms: 12 + -6 = 6 15 + 9x = 6 + 8x Solving 15 + 9x = 6 + 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. 15 + 9x + -8x = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x 15 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 1x = 6 + 0 15 + 1x = 6 Add '-15' to each side of the equation. 15 + -15 + 1x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 6 + -15 1x = 6 + -15 Combine like terms: 6 + -15 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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