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Simplifying 4(5x + -3) + -7x = 3(6x + -4) + 10 Reorder the terms: 4(-3 + 5x) + -7x = 3(6x + -4) + 10 (-3 * 4 + 5x * 4) + -7x = 3(6x + -4) + 10 (-12 + 20x) + -7x = 3(6x + -4) + 10 Combine like terms: 20x + -7x = 13x -12 + 13x = 3(6x + -4) + 10 Reorder the terms: -12 + 13x = 3(-4 + 6x) + 10 -12 + 13x = (-4 * 3 + 6x * 3) + 10 -12 + 13x = (-12 + 18x) + 10 Reorder the terms: -12 + 13x = -12 + 10 + 18x Combine like terms: -12 + 10 = -2 -12 + 13x = -2 + 18x Solving -12 + 13x = -2 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 13x + -18x = -2 + 18x + -18x Combine like terms: 13x + -18x = -5x -12 + -5x = -2 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -5x = -2 + 0 -12 + -5x = -2 Add '12' to each side of the equation. -12 + 12 + -5x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -2 + 12 -5x = -2 + 12 Combine like terms: -2 + 12 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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