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Simplifying 3(x + -2) + 4(x + -3) = 6(x + -5) Reorder the terms: 3(-2 + x) + 4(x + -3) = 6(x + -5) (-2 * 3 + x * 3) + 4(x + -3) = 6(x + -5) (-6 + 3x) + 4(x + -3) = 6(x + -5) Reorder the terms: -6 + 3x + 4(-3 + x) = 6(x + -5) -6 + 3x + (-3 * 4 + x * 4) = 6(x + -5) -6 + 3x + (-12 + 4x) = 6(x + -5) Reorder the terms: -6 + -12 + 3x + 4x = 6(x + -5) Combine like terms: -6 + -12 = -18 -18 + 3x + 4x = 6(x + -5) Combine like terms: 3x + 4x = 7x -18 + 7x = 6(x + -5) Reorder the terms: -18 + 7x = 6(-5 + x) -18 + 7x = (-5 * 6 + x * 6) -18 + 7x = (-30 + 6x) Solving -18 + 7x = -30 + 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. -18 + 7x + -6x = -30 + 6x + -6x Combine like terms: 7x + -6x = 1x -18 + 1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 1x = -30 + 0 -18 + 1x = -30 Add '18' to each side of the equation. -18 + 18 + 1x = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -30 + 18 1x = -30 + 18 Combine like terms: -30 + 18 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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