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Simplifying 5x + 8 + -4x + 5 = 7(4x + -3) + -24 Reorder the terms: 8 + 5 + 5x + -4x = 7(4x + -3) + -24 Combine like terms: 8 + 5 = 13 13 + 5x + -4x = 7(4x + -3) + -24 Combine like terms: 5x + -4x = 1x 13 + 1x = 7(4x + -3) + -24 Reorder the terms: 13 + 1x = 7(-3 + 4x) + -24 13 + 1x = (-3 * 7 + 4x * 7) + -24 13 + 1x = (-21 + 28x) + -24 Reorder the terms: 13 + 1x = -21 + -24 + 28x Combine like terms: -21 + -24 = -45 13 + 1x = -45 + 28x Solving 13 + 1x = -45 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 13 + 1x + -28x = -45 + 28x + -28x Combine like terms: 1x + -28x = -27x 13 + -27x = -45 + 28x + -28x Combine like terms: 28x + -28x = 0 13 + -27x = -45 + 0 13 + -27x = -45 Add '-13' to each side of the equation. 13 + -13 + -27x = -45 + -13 Combine like terms: 13 + -13 = 0 0 + -27x = -45 + -13 -27x = -45 + -13 Combine like terms: -45 + -13 = -58 -27x = -58 Divide each side by '-27'. x = 2.148148148 Simplifying x = 2.148148148
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