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Simplifying 4(5x + -3) + -7 = 3(6x + -4) + 10 Reorder the terms: 4(-3 + 5x) + -7 = 3(6x + -4) + 10 (-3 * 4 + 5x * 4) + -7 = 3(6x + -4) + 10 (-12 + 20x) + -7 = 3(6x + -4) + 10 Reorder the terms: -12 + -7 + 20x = 3(6x + -4) + 10 Combine like terms: -12 + -7 = -19 -19 + 20x = 3(6x + -4) + 10 Reorder the terms: -19 + 20x = 3(-4 + 6x) + 10 -19 + 20x = (-4 * 3 + 6x * 3) + 10 -19 + 20x = (-12 + 18x) + 10 Reorder the terms: -19 + 20x = -12 + 10 + 18x Combine like terms: -12 + 10 = -2 -19 + 20x = -2 + 18x Solving -19 + 20x = -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. -19 + 20x + -18x = -2 + 18x + -18x Combine like terms: 20x + -18x = 2x -19 + 2x = -2 + 18x + -18x Combine like terms: 18x + -18x = 0 -19 + 2x = -2 + 0 -19 + 2x = -2 Add '19' to each side of the equation. -19 + 19 + 2x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -2 + 19 2x = -2 + 19 Combine like terms: -2 + 19 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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