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Simplifying -3(x + -6) + 4(x + -1) = 7x + -10 Reorder the terms: -3(-6 + x) + 4(x + -1) = 7x + -10 (-6 * -3 + x * -3) + 4(x + -1) = 7x + -10 (18 + -3x) + 4(x + -1) = 7x + -10 Reorder the terms: 18 + -3x + 4(-1 + x) = 7x + -10 18 + -3x + (-1 * 4 + x * 4) = 7x + -10 18 + -3x + (-4 + 4x) = 7x + -10 Reorder the terms: 18 + -4 + -3x + 4x = 7x + -10 Combine like terms: 18 + -4 = 14 14 + -3x + 4x = 7x + -10 Combine like terms: -3x + 4x = 1x 14 + 1x = 7x + -10 Reorder the terms: 14 + 1x = -10 + 7x Solving 14 + 1x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 1x + -7x = -10 + 7x + -7x Combine like terms: 1x + -7x = -6x 14 + -6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -6x = -10 + 0 14 + -6x = -10 Add '-14' to each side of the equation. 14 + -14 + -6x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -10 + -14 -6x = -10 + -14 Combine like terms: -10 + -14 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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