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Simplifying 2(3x) + 4(36) + -6x = -4(6x + 3) + 12 Remove parenthesis around (3x) 2 * 3x + 4(36) + -6x = -4(6x + 3) + 12 Multiply 2 * 3 6x + 4(36) + -6x = -4(6x + 3) + 12 Multiply 4 * 36 6x + 144 + -6x = -4(6x + 3) + 12 Reorder the terms: 144 + 6x + -6x = -4(6x + 3) + 12 Combine like terms: 6x + -6x = 0 144 + 0 = -4(6x + 3) + 12 144 = -4(6x + 3) + 12 Reorder the terms: 144 = -4(3 + 6x) + 12 144 = (3 * -4 + 6x * -4) + 12 144 = (-12 + -24x) + 12 Reorder the terms: 144 = -12 + 12 + -24x Combine like terms: -12 + 12 = 0 144 = 0 + -24x 144 = -24x Solving 144 = -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 144 + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 144 + 24x = 0 Add '-144' to each side of the equation. 144 + -144 + 24x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 24x = 0 + -144 24x = 0 + -144 Combine like terms: 0 + -144 = -144 24x = -144 Divide each side by '24'. x = -6 Simplifying x = -6
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