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Simplifying 4(x + -9) + -3(2x + 5) = 4.5(2x + -15) Reorder the terms: 4(-9 + x) + -3(2x + 5) = 4.5(2x + -15) (-9 * 4 + x * 4) + -3(2x + 5) = 4.5(2x + -15) (-36 + 4x) + -3(2x + 5) = 4.5(2x + -15) Reorder the terms: -36 + 4x + -3(5 + 2x) = 4.5(2x + -15) -36 + 4x + (5 * -3 + 2x * -3) = 4.5(2x + -15) -36 + 4x + (-15 + -6x) = 4.5(2x + -15) Reorder the terms: -36 + -15 + 4x + -6x = 4.5(2x + -15) Combine like terms: -36 + -15 = -51 -51 + 4x + -6x = 4.5(2x + -15) Combine like terms: 4x + -6x = -2x -51 + -2x = 4.5(2x + -15) Reorder the terms: -51 + -2x = 4.5(-15 + 2x) -51 + -2x = (-15 * 4.5 + 2x * 4.5) -51 + -2x = (-67.5 + 9x) Solving -51 + -2x = -67.5 + 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. -51 + -2x + -9x = -67.5 + 9x + -9x Combine like terms: -2x + -9x = -11x -51 + -11x = -67.5 + 9x + -9x Combine like terms: 9x + -9x = 0 -51 + -11x = -67.5 + 0 -51 + -11x = -67.5 Add '51' to each side of the equation. -51 + 51 + -11x = -67.5 + 51 Combine like terms: -51 + 51 = 0 0 + -11x = -67.5 + 51 -11x = -67.5 + 51 Combine like terms: -67.5 + 51 = -16.5 -11x = -16.5 Divide each side by '-11'. x = 1.5 Simplifying x = 1.5
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