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Simplifying 2.4(8x + -4) + 1.8(-6x + -18) + 9.6 = -0.6(-16x + 64) Reorder the terms: 2.4(-4 + 8x) + 1.8(-6x + -18) + 9.6 = -0.6(-16x + 64) (-4 * 2.4 + 8x * 2.4) + 1.8(-6x + -18) + 9.6 = -0.6(-16x + 64) (-9.6 + 19.2x) + 1.8(-6x + -18) + 9.6 = -0.6(-16x + 64) Reorder the terms: -9.6 + 19.2x + 1.8(-18 + -6x) + 9.6 = -0.6(-16x + 64) -9.6 + 19.2x + (-18 * 1.8 + -6x * 1.8) + 9.6 = -0.6(-16x + 64) -9.6 + 19.2x + (-32.4 + -10.8x) + 9.6 = -0.6(-16x + 64) Reorder the terms: -9.6 + -32.4 + 9.6 + 19.2x + -10.8x = -0.6(-16x + 64) Combine like terms: -9.6 + -32.4 = -42 -42 + 9.6 + 19.2x + -10.8x = -0.6(-16x + 64) Combine like terms: -42 + 9.6 = -32.4 -32.4 + 19.2x + -10.8x = -0.6(-16x + 64) Combine like terms: 19.2x + -10.8x = 8.4x -32.4 + 8.4x = -0.6(-16x + 64) Reorder the terms: -32.4 + 8.4x = -0.6(64 + -16x) -32.4 + 8.4x = (64 * -0.6 + -16x * -0.6) -32.4 + 8.4x = (-38.4 + 9.6x) Solving -32.4 + 8.4x = -38.4 + 9.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.6x' to each side of the equation. -32.4 + 8.4x + -9.6x = -38.4 + 9.6x + -9.6x Combine like terms: 8.4x + -9.6x = -1.2x -32.4 + -1.2x = -38.4 + 9.6x + -9.6x Combine like terms: 9.6x + -9.6x = 0.0 -32.4 + -1.2x = -38.4 + 0.0 -32.4 + -1.2x = -38.4 Add '32.4' to each side of the equation. -32.4 + 32.4 + -1.2x = -38.4 + 32.4 Combine like terms: -32.4 + 32.4 = 0.0 0.0 + -1.2x = -38.4 + 32.4 -1.2x = -38.4 + 32.4 Combine like terms: -38.4 + 32.4 = -6 -1.2x = -6 Divide each side by '-1.2'. x = 5 Simplifying x = 5
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