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Simplifying 5(3x + -3) = 3x + -4(x + 3) Reorder the terms: 5(-3 + 3x) = 3x + -4(x + 3) (-3 * 5 + 3x * 5) = 3x + -4(x + 3) (-15 + 15x) = 3x + -4(x + 3) Reorder the terms: -15 + 15x = 3x + -4(3 + x) -15 + 15x = 3x + (3 * -4 + x * -4) -15 + 15x = 3x + (-12 + -4x) Reorder the terms: -15 + 15x = -12 + 3x + -4x Combine like terms: 3x + -4x = -1x -15 + 15x = -12 + -1x Solving -15 + 15x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 15x + x = -12 + -1x + x Combine like terms: 15x + x = 16x -15 + 16x = -12 + -1x + x Combine like terms: -1x + x = 0 -15 + 16x = -12 + 0 -15 + 16x = -12 Add '15' to each side of the equation. -15 + 15 + 16x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = -12 + 15 16x = -12 + 15 Combine like terms: -12 + 15 = 3 16x = 3 Divide each side by '16'. x = 0.1875 Simplifying x = 0.1875
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