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Simplifying 4(x + -3) + 54 = (-2x) Reorder the terms: 4(-3 + x) + 54 = (-2x) (-3 * 4 + x * 4) + 54 = (-2x) (-12 + 4x) + 54 = (-2x) Reorder the terms: -12 + 54 + 4x = (-2x) Combine like terms: -12 + 54 = 42 42 + 4x = (-2x) Solving 42 + 4x = (-2x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(2x)' to each side of the equation. 42 + 4x + (2x) = (-2x) + (2x) Combine like terms: 4x + (2x) = 6x 42 + 6x = (-2x) + (2x) Combine like terms: (-2x) + (2x) = 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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