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