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Simplifying 3[2x + -4(x + 3) + -6] = 9(x + -4) + 18 Reorder the terms: 3[2x + -4(3 + x) + -6] = 9(x + -4) + 18 3[2x + (3 * -4 + x * -4) + -6] = 9(x + -4) + 18 3[2x + (-12 + -4x) + -6] = 9(x + -4) + 18 Reorder the terms: 3[-12 + -6 + 2x + -4x] = 9(x + -4) + 18 Combine like terms: -12 + -6 = -18 3[-18 + 2x + -4x] = 9(x + -4) + 18 Combine like terms: 2x + -4x = -2x 3[-18 + -2x] = 9(x + -4) + 18 [-18 * 3 + -2x * 3] = 9(x + -4) + 18 [-54 + -6x] = 9(x + -4) + 18 Reorder the terms: -54 + -6x = 9(-4 + x) + 18 -54 + -6x = (-4 * 9 + x * 9) + 18 -54 + -6x = (-36 + 9x) + 18 Reorder the terms: -54 + -6x = -36 + 18 + 9x Combine like terms: -36 + 18 = -18 -54 + -6x = -18 + 9x Solving -54 + -6x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -54 + -6x + -9x = -18 + 9x + -9x Combine like terms: -6x + -9x = -15x -54 + -15x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -54 + -15x = -18 + 0 -54 + -15x = -18 Add '54' to each side of the equation. -54 + 54 + -15x = -18 + 54 Combine like terms: -54 + 54 = 0 0 + -15x = -18 + 54 -15x = -18 + 54 Combine like terms: -18 + 54 = 36 -15x = 36 Divide each side by '-15'. x = -2.4 Simplifying x = -2.4
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