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Simplifying 3(x + -4) + 54 = -3x Reorder the terms: 3(-4 + x) + 54 = -3x (-4 * 3 + x * 3) + 54 = -3x (-12 + 3x) + 54 = -3x Reorder the terms: -12 + 54 + 3x = -3x Combine like terms: -12 + 54 = 42 42 + 3x = -3x Solving 42 + 3x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 3x + 3x = -3x + 3x Combine like terms: 3x + 3x = 6x 42 + 6x = -3x + 3x Combine like terms: -3x + 3x = 0 42 + 6x = 0 Add '-42' to each side of the equation. 42 + -42 + 6x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 0 + -42 6x = 0 + -42 Combine like terms: 0 + -42 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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