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Simplifying 5(x + 6) + 2x + -10 = 4(x + -3) + 2x + 8 Reorder the terms: 5(6 + x) + 2x + -10 = 4(x + -3) + 2x + 8 (6 * 5 + x * 5) + 2x + -10 = 4(x + -3) + 2x + 8 (30 + 5x) + 2x + -10 = 4(x + -3) + 2x + 8 Reorder the terms: 30 + -10 + 5x + 2x = 4(x + -3) + 2x + 8 Combine like terms: 30 + -10 = 20 20 + 5x + 2x = 4(x + -3) + 2x + 8 Combine like terms: 5x + 2x = 7x 20 + 7x = 4(x + -3) + 2x + 8 Reorder the terms: 20 + 7x = 4(-3 + x) + 2x + 8 20 + 7x = (-3 * 4 + x * 4) + 2x + 8 20 + 7x = (-12 + 4x) + 2x + 8 Reorder the terms: 20 + 7x = -12 + 8 + 4x + 2x Combine like terms: -12 + 8 = -4 20 + 7x = -4 + 4x + 2x Combine like terms: 4x + 2x = 6x 20 + 7x = -4 + 6x Solving 20 + 7x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 7x + -6x = -4 + 6x + -6x Combine like terms: 7x + -6x = 1x 20 + 1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 1x = -4 + 0 20 + 1x = -4 Add '-20' to each side of the equation. 20 + -20 + 1x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -4 + -20 1x = -4 + -20 Combine like terms: -4 + -20 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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