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Simplifying 3(5x + -5) + -3(2x + -16) = 4(2x + 1) + -3 Reorder the terms: 3(-5 + 5x) + -3(2x + -16) = 4(2x + 1) + -3 (-5 * 3 + 5x * 3) + -3(2x + -16) = 4(2x + 1) + -3 (-15 + 15x) + -3(2x + -16) = 4(2x + 1) + -3 Reorder the terms: -15 + 15x + -3(-16 + 2x) = 4(2x + 1) + -3 -15 + 15x + (-16 * -3 + 2x * -3) = 4(2x + 1) + -3 -15 + 15x + (48 + -6x) = 4(2x + 1) + -3 Reorder the terms: -15 + 48 + 15x + -6x = 4(2x + 1) + -3 Combine like terms: -15 + 48 = 33 33 + 15x + -6x = 4(2x + 1) + -3 Combine like terms: 15x + -6x = 9x 33 + 9x = 4(2x + 1) + -3 Reorder the terms: 33 + 9x = 4(1 + 2x) + -3 33 + 9x = (1 * 4 + 2x * 4) + -3 33 + 9x = (4 + 8x) + -3 Reorder the terms: 33 + 9x = 4 + -3 + 8x Combine like terms: 4 + -3 = 1 33 + 9x = 1 + 8x Solving 33 + 9x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 33 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x 33 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + 1x = 1 + 0 33 + 1x = 1 Add '-33' to each side of the equation. 33 + -33 + 1x = 1 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 1 + -33 1x = 1 + -33 Combine like terms: 1 + -33 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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