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Simplifying 4(2x + -1) + 10 = 6(x + -2) + -1(5x + 3) Reorder the terms: 4(-1 + 2x) + 10 = 6(x + -2) + -1(5x + 3) (-1 * 4 + 2x * 4) + 10 = 6(x + -2) + -1(5x + 3) (-4 + 8x) + 10 = 6(x + -2) + -1(5x + 3) Reorder the terms: -4 + 10 + 8x = 6(x + -2) + -1(5x + 3) Combine like terms: -4 + 10 = 6 6 + 8x = 6(x + -2) + -1(5x + 3) Reorder the terms: 6 + 8x = 6(-2 + x) + -1(5x + 3) 6 + 8x = (-2 * 6 + x * 6) + -1(5x + 3) 6 + 8x = (-12 + 6x) + -1(5x + 3) Reorder the terms: 6 + 8x = -12 + 6x + -1(3 + 5x) 6 + 8x = -12 + 6x + (3 * -1 + 5x * -1) 6 + 8x = -12 + 6x + (-3 + -5x) Reorder the terms: 6 + 8x = -12 + -3 + 6x + -5x Combine like terms: -12 + -3 = -15 6 + 8x = -15 + 6x + -5x Combine like terms: 6x + -5x = 1x 6 + 8x = -15 + 1x Solving 6 + 8x = -15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 8x + -1x = -15 + 1x + -1x Combine like terms: 8x + -1x = 7x 6 + 7x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 7x = -15 + 0 6 + 7x = -15 Add '-6' to each side of the equation. 6 + -6 + 7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -15 + -6 7x = -15 + -6 Combine like terms: -15 + -6 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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