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Simplifying 6(5x + -2) + -3(3x + -16) = 5(4x + 3) + -7 Reorder the terms: 6(-2 + 5x) + -3(3x + -16) = 5(4x + 3) + -7 (-2 * 6 + 5x * 6) + -3(3x + -16) = 5(4x + 3) + -7 (-12 + 30x) + -3(3x + -16) = 5(4x + 3) + -7 Reorder the terms: -12 + 30x + -3(-16 + 3x) = 5(4x + 3) + -7 -12 + 30x + (-16 * -3 + 3x * -3) = 5(4x + 3) + -7 -12 + 30x + (48 + -9x) = 5(4x + 3) + -7 Reorder the terms: -12 + 48 + 30x + -9x = 5(4x + 3) + -7 Combine like terms: -12 + 48 = 36 36 + 30x + -9x = 5(4x + 3) + -7 Combine like terms: 30x + -9x = 21x 36 + 21x = 5(4x + 3) + -7 Reorder the terms: 36 + 21x = 5(3 + 4x) + -7 36 + 21x = (3 * 5 + 4x * 5) + -7 36 + 21x = (15 + 20x) + -7 Reorder the terms: 36 + 21x = 15 + -7 + 20x Combine like terms: 15 + -7 = 8 36 + 21x = 8 + 20x Solving 36 + 21x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 36 + 21x + -20x = 8 + 20x + -20x Combine like terms: 21x + -20x = 1x 36 + 1x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 36 + 1x = 8 + 0 36 + 1x = 8 Add '-36' to each side of the equation. 36 + -36 + 1x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 8 + -36 1x = 8 + -36 Combine like terms: 8 + -36 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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