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Simplifying 4(x + -3) + 3(10 + -1x) = 4x + -3 Reorder the terms: 4(-3 + x) + 3(10 + -1x) = 4x + -3 (-3 * 4 + x * 4) + 3(10 + -1x) = 4x + -3 (-12 + 4x) + 3(10 + -1x) = 4x + -3 -12 + 4x + (10 * 3 + -1x * 3) = 4x + -3 -12 + 4x + (30 + -3x) = 4x + -3 Reorder the terms: -12 + 30 + 4x + -3x = 4x + -3 Combine like terms: -12 + 30 = 18 18 + 4x + -3x = 4x + -3 Combine like terms: 4x + -3x = 1x 18 + 1x = 4x + -3 Reorder the terms: 18 + 1x = -3 + 4x Solving 18 + 1x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 1x + -4x = -3 + 4x + -4x Combine like terms: 1x + -4x = -3x 18 + -3x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -3x = -3 + 0 18 + -3x = -3 Add '-18' to each side of the equation. 18 + -18 + -3x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = -3 + -18 -3x = -3 + -18 Combine like terms: -3 + -18 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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