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Simplifying -15x + 3(x + -4) + 9x = 3x + -54 Reorder the terms: -15x + 3(-4 + x) + 9x = 3x + -54 -15x + (-4 * 3 + x * 3) + 9x = 3x + -54 -15x + (-12 + 3x) + 9x = 3x + -54 Reorder the terms: -12 + -15x + 3x + 9x = 3x + -54 Combine like terms: -15x + 3x = -12x -12 + -12x + 9x = 3x + -54 Combine like terms: -12x + 9x = -3x -12 + -3x = 3x + -54 Reorder the terms: -12 + -3x = -54 + 3x Solving -12 + -3x = -54 + 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. -12 + -3x + -3x = -54 + 3x + -3x Combine like terms: -3x + -3x = -6x -12 + -6x = -54 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -6x = -54 + 0 -12 + -6x = -54 Add '12' to each side of the equation. -12 + 12 + -6x = -54 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -54 + 12 -6x = -54 + 12 Combine like terms: -54 + 12 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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